1. calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x2 − 4x + 1 and y = −x2 + 4x − 5 for x in [0, 3]
  2. Brief Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = −x and y = −x^3 for x in [−1, 1]
  3. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x^2 − 4x + 1 and y = −x^2 + 4x − 5 for x in [0, 3]
  4. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = −x and y = x/2 for x in [0, 6]
  5. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x and y = x^4
  6. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x^2 − 4x + 1 and y = −x^2 + 4x − 5
  7. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x^2 − 4x + 1 and y = −x^2 + 4x − 5
  8. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. HINT [See Example 3.] Enclosed by y = x and y = x^4
  9. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x^2 − 4x + 1 and y = −x^2 + 4x − 5 for x in [0, 3]
  10. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to three decimal places.) Between y = e^x and y = x
  11. Business Math

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four decimal places.) Enclosed by y = ln x, y = 2
  12. Brief Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four significant digits.) Enclosed by y = e^x, y =
  13. Calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four significant digits.) HINT [See Quick Example
  14. calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four significant digits.) HINT [See Quick Example
  15. calculus

    Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four significant digits.) HINT [See Quick Example
  16. Calculus-Steve

    Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 + 2x+2 over [0,2]. I got 34/3. Calculus - Steve ∫[0,2] (x^2+2x+2) dx = 1/3 x^3 + x^2 + 2x [0,2] = 8/3 + 4 + 4 = 32/3 Why are you taking the antiderivative of x^2 +2x+2 when we are
  17. calculus 2

    Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. (Round your answer to two decimal places.) y = 8x^2− 3x, y = x^3−8x+ 2
  18. Calculus-Area between curves

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4*sqrt(x) , y=5 and 2y+4x=8 please help! i've been trying this problem the last couple days, even asked a TA for help,
  19. math, calculus

    1. Consider the region bounded by the curves y=|x^2+x-12|, x=-5, and x=5 and the x-axis. A. Set up a sum of integrals, not containing an absolute value symbol, that can be used to find the area of this region. B. Find the area of the region by using your
  20. calculus

    Consider the curves y = x^2and y = mx, where m is some positive constant. No matter what positive constant m is, the two curves enclose a region in the first quadrant.Without using a calculator, find the positive constant m such that the area of the region
  21. calculus

    Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find the area of the region enclosed by the two curves; 2) Find the volume of the solid obtained by rotating the above region about the x-axis; 3) Find the volume of the solid obtained by
  22. Calculus

    We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1,
  23. Calculus

    We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1,
  24. Calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y = 4(x^(1/2)), y=4, and 2y +2x = 6 I keep getting an area around 21.3 but it is incorrect. Am I close? Thank you!
  25. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=3+√X, y=3+1/5x What is the area?
  26. Math

    The curves y=sinx and y=cosx intersects twice on the interval (0,2pi). Find the area of the region bounded by the two curves between the points of intersection.
  27. Math

    The curves y=sinx and y=cosx intersects twice on the interval (0,2pi). Find the area of the region bounded by the two curves between the points of intersection.
  28. calculus showed work

    find the area of the rgion bounded by the graphs of y=x^3-2x and g(x)=-x i drew the graph and half of the graph is above the xaxis and the other half is below the axis. so the integrals i came up with are two because i broke them up and i combined the
  29. Calculus

    Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line tangent to the graph of f at
  30. math

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=e^1x, y=e^4x, x=1
  31. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y = 5x^2 and y = x^2+6
  32. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y = 4√x and y = 5 and 2y+2x = 6.
  33. Calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. x+y^2=42, x+y=0
  34. Calculus Area between curves

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 3y+x=3 , y^2-x=1
  35. Math- Calc

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=e^(4x), y=e^(6x), x=1
  36. Calculus

    Sketch the region enclosed by the curves x= 49-y^2 and x = y^2 - 49. Decide whether to integrate with respect to x or y. Then find the area of the region.
  37. Calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3(x^(1/2)) , y=5 and 2y+3x=6
  38. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.
  39. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3 sqrt x,y=3 and 2y+1x=4
  40. Calculus

    sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5 rootx, y=5, and 2y+2x=7.
  41. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.
  42. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.
  43. Calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrtx , y=3 , 2y+2x=5
  44. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.
  45. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.
  46. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.
  47. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.
  48. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area S of the region. y=sqrt(x) , y=1/2 x , x=25
  49. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.
  50. CALCULUS:)

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrtx and y=3 and 2y+2x=5
  51. math

    Roughly sketch the region enclosed by the curves y = sin x, y = cos x and the x - axis between x = 0 and x = p/ 2 . Also find the area of this region.
  52. Calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5x^(1/2) , y=4 and 2y+1x=6 I've been trying this problem for about 3 hours. Please help!!!!!
  53. Calculus

    1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the x-axis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where 1
  54. calculus

    Sketch the region in the first quadrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=10cosx, y=10sin2x,x=0
  55. Calculus HELP plz

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4x^1/2,y=5,2y+1x=5 Do you really mean "2y+1x=5" ? It is not customary to use the coefficient 1 in front of a variable.
  56. Calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x), y=5, and 2y+3x=6 I tried this many times and i am getting it wrong. Please show me how you got to the answer.
  57. Calculus

    Sketch the graph and find the area of the region described below. f(x)= -3xe^((-x)^2) Find the area of the region bounded below by the graph of f(x) and above by the x-axis from x = 0 to x = 3.
  58. calculus review please help!

    1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but do not evaluate, the integral which gives
  59. Calculus: Application of Integration

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label ts height and width. Then find the area of the region. y=x^2 y^2=x
  60. Calculus - please help!

    Suppose that 0 < c < ¥ð/2. For what value of c is the area of the region enclosed by the curves y = cos x, y = cos(x - c), and x = 0 equal to the area of the region enclosed by the curves y = cos(x - c), x = ¥ð, and y = 0? i have no idea how to solve
  61. CALCULUS

    Sketch the region enclosed by the given curves. y = 4/X y = 16x, y = 1X/16 x > 0 and the area between the curves
  62. math

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5x , y=3 and 2y+1x=6 It is easier to integrate with respect to the variable Area = Help!!!!
  63. Calculus

    Sketch the region enclosed by the given curves.? Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3(x^(1/2)) , y=4, and 2y+3x=6 I have been working on this problem for the past 3 hours with a friend and we have just
  64. calculus

    Find the area of the region between the curves y = x^2 and y = 2/(x^2+1).
  65. Calculus

    Find the area of the region between the curves y=8−x2 y=x2 x=−3 and x=3
  66. Calculus

    Let R be the region in the first quadrant under the graph of y=1/sqrt(x) for 4
  67. MATH

    Region A that on xy-plane is bounded by two (2) curves and a line. The curves are y=x^3-2x+3 and y=-x^2+3 while the line is x=0. It is located in the first quadrant of xy-plane. Determine the area of region A.
  68. calculus

    find the area of the region bounded by the curves f(x)=x-x^3 ; g(x)=x^2-x ; over [0,1]
  69. integral calculus

    FIND THE AREA OF THE REGION BOUNDED BY THE CURVES Y= X^2 + 4X + 3 AND Y= x-1.
  70. Calculus

    Find the area of the region enclosed by the given curves: 4x+y^2=9, x=2y
  71. Math (3)

    Find the area of the shaded region. the following curves are; y=x^3 y=x+6 y=-1/2x
  72. math

    Find the area of the region between the curves y = sin x and y = x^2 - x, 0 ≤ x ≤ 2.
  73. calc

    find the area under the region bounded by the curves y=x^2-3 and y=2x.
  74. math

    find the area of region R bounded by the curves y=3x , x=2y and 2x+y=5
  75. Calculus

    Find the area of the region bounded by the curves y=x^2 - 2x and y= x + 4
  76. Calculus

    Find the area of the region in the first quadrant between the curves y=x^8, and y=2x^2-x^4
  77. calculus

    Find the area of the region bounded by the curves y=x^2 & y=2x???
  78. Calculus

    Find the volume of the solid whose base is the region in the xy-plane bounded by the given curves and whose cross-sections perpendicular to the x-axis are (a) squares, (b) semicircles, and (c) equilater triangles. y=x^2, x=0, x=2, y=0 I know how to graph
  79. Kenya water

    Find the area of the region bounded by the curves y=xsinx and y=(x-2)^2
  80. calculus

    Find the area of region bounded by the curves y=sin(pi/2*x)and y=x^2-2x.
  81. Calculus

    Find the area of the region enclosed by the given curves: y=e^6x, y=2sin(x), x=0, x=pi/2
  82. Math

    Find the area of the region between the curves y=lnx and y=ln2x from x=1 and x=5.
  83. Calculus

    find the area of the region bounded by the curves y=x^2-1 and y =cos(x)
  84. calculus

    Find the area bounded by {y=x2−4 y=4−x2 • sketch the region described • determine any intersection point(s) for the curves (show work!!) • write out the integral(s) that will calculate the area • determine the area (may use a calculator)
  85. Calculus

    Find the area of the region between the curves y=8−x^2 y=x^2 x=−3 and x=3 I made a slight correction
  86. Math

    How do I find the area of the region bounded by the curves y = e^x, y = e^-x, x= -2, and x = 1? Even if you could just help me in getting started it would be a HUGE help. Thanks!
  87. math

    Sketch the region enclosed by the given curves. y = 4/x, y = 16x, y =1/4x, x > 0 Find the area.
  88. Calculus 1

    Let f be the function given by f(x)=3sqrt(x-2). A) On the axes provided sketch graph of f and shade the region R enclosed by the graph f, the x-axis, and the vertical line x=8 (already completed just mentioned it for part B.) B) Find area of the region R
  89. Calculus

    Consider the region in the plane consisting of points (x, y) satisfying x > 0, y > 0, and lying between the curves y=x^2 +1and y=2x^2 −2. (b) Calculate the area of this region.
  90. Math

    A man owns a rectangular piece of land. The land is divided into four rectangular pieces, known as Region A, Region B, Region C, and Region D. One day his daughter, Nancy, asked him, what is the area of our land? The father replied: I will only tell you
  91. calculus

    Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real constant. a. Determine all values of c for which the graphs intersect in two distinct points. b. suppose c = -3/2. Find the area of the region enclosed by the two curves. c. suppose c = 0.
  92. Calculus

    Find the area of the region bounded by the curves y=12-x^2 and y=x^2-6. Hint:The answer should be a whole number.
  93. calculus 2

    Sketch the region enclosed by the given curves. Find its area. y=7cos pi x, y=12x^2-3
  94. Calculus (Area Between Curves)

    Find the area of the region bounded by the curves y^2=x, y-4=x, y=-2 and y=1 (Hint: You'll definitely have to sketch this one on paper first.) You get: a.) 27/2 b.) 22/3 c.) 33/2 d.) 34/3 e.) 14
  95. Calculus

    Find the area of the enclosed by the y-axis and the curves y=x^2 and y=(x^2+x+1)*e^(-x). ...I'm supposed to use tabular method to find the area. But I'm not sure where to start with this question. I drew the graph for y=x^2, but that's about it. Help!
  96. maths

    determine the co-ordinate of the poin of intersection of the curves y=x*x and y*y=8x. sketch the two curves and find the area enclosed by the two curves.
  97. math (4)

    Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2)
  98. math (4)

    Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2)
  99. math (4)

    Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2) x=0 x=1
  100. calculus

    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. y=tan(11x) and y= sin(11x). -pi/33>= x